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Finding the Third Proportional to 726,996,248 and 1,564,847,152

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Solution

The third proportional to 726,996,248 and 1,564,847,152 is: 3,368,307,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,996,248 : 1,564,847,152 = 1,564,847,152 : x
  2. Step 2: Convert to fraction form
    726,996,248/1,564,847,152 = 1,564,847,152/x
  3. Step 3: Cross multiply
    726,996,248x = 1,564,847,152 × 1,564,847,152
  4. Step 4: Simplify right side
    726,996,248x = 2,448,746,609,122,510,848
  5. Step 5: Solve for x
    x = 2,448,746,609,122,510,848/726,996,248
  6. Step 6: Final answer
    x = 3,368,307,079.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.